Elliott's identity and hypergeometric functions

DOI10.1016/S0022-247X(02)00126-9zbMath1011.33010MaRDI QIDQ1849152

Saminathan Ponnusamy, R. Balasubramanian, Matti Vuorinen, Swatee Naik

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

hypergeometric functionscomplete elliptic integralsLegendre functions of the second kindElliot's identity

Mathematics Subject Classification ID

Hypergeometric functions (33C99)

Related Items (10)

Topics in Special Functions III ⋮ New identities for a sum of products of the Kummer functions ⋮ Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals ⋮ Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions ⋮ Monotonicity properties of generalized elliptic integrals with respect to the parameter ⋮ Sharp approximations for the generalized elliptic integral of the first kind ⋮ Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix \(p\)th root ⋮ On the order of convexity for the shifted hypergeometric functions ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function ⋮ A new identity for the sum of products of the generalized hypergeometric functions

Cites Work

• Generalized elliptic integrals and modular equations
• On hypergeometric functions and function spaces
• Functional inequalities for the quotients of hypergeometric functions
• The special functions and their approximations. Vol. I, II
• Topics in Special Functions
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• On hypergeometric functions and generalizations of Legendre's relation
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